## A course of practical geometry for mechanics1856 |

### From inside the book

Page

...

...

**similar**to the above , in Six Books , namely , Waste or Day Book , Journal , Ledger , Invoice Book , Cash Book and Bill Book , with a familiar Treatise on Book - keeping . This work will be found to possess advantages over every other ... Page

...

...

**similar**. Geometry , geometrical . Homologous sides .. Inscribe , describe ... Instruments , mathematical Intersections ... PAGE 13 , 64 , 65 11 , 58 , 64 , 65 , 67 5 , 6 , 13 , 38 5 , 11 , 20 , 22 10 , 42 , 44 11 , 18 10 12 , 40-42 17 ... Page

...

...

**similar**, equal . Trisect , trisections Vertex , vertical 13 , 53 , 67 8 , 9 , 21 , 22 , 34 , 36 , 54-71 13 , 38 3 , 6 , 11 , 12 , 39 , 40 , 60 PRACTICAL GEOMETRY . INTRODUCTION . THE word Geometry is composed viii CONTENTS . Page 11

...

...

**Similar**figures are such as have all the angles of the one respectively equal to all the angles of the other , each to each , and the sides about the equal angles pro- portionals . The Irregular F E Hexagon ABCDEF is**similar**to the ... Page 12

...

...

**similar**to the corresponding triangles in the other . 80. Homologous sides are the corresponding sides of**similar**figures , and are always proportional to one another ; thus , A B is homologous to a b , B C to b c , etc. , also A B ...### Other editions - View all

### Common terms and phrases

13 inches A B C A C B Aldersgate Street altitude angle equal arc or angle Arithmetical mean Bisect Book centre circumference contain an angle cutting A B describe a circle describe a regular describe an arc diagonal scale distance Divide a line Draw a line Draw chords Draw the line ellipse equilateral triangle Euclid Euclid's Elements EXAMPLES French FRENCH LANGUAGE Geometry given angle given circle given line given parallelogram given point given square given straight line given triangle Harmonical mean heptagon inch side inches long inches radius inches respectively inscribe isosceles triangle Join Let A B line 2 inches line A B number of degrees number of equal parallel parallel ruler perpendicular plain scale plane Prob PROBLEM produced Prop protractor pupil radii rectangle rectilineal figure regular pentagon regular polygon Relfe rhombus right angles right line right-angled triangle scale of chords segment square equal triangle required vertex vertical angle

### Popular passages

Page 8 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.

Page 8 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.

Page 7 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.

Page 68 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.

Page 14 - An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight . line which is the base of the segment.

Page 9 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 11 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.

Page 7 - ... straight lines, and the other upon the other line : Thus the angle which is contained by the straight lines, AB, CB, is named the angle ABC, or CBA ; that which is contained by AB...